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Finding the Third Proportional to 508,862 and 748,437

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Solution

The third proportional to 508,862 and 748,437 is: 1,100,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,862 : 748,437 = 748,437 : x
  2. Step 2: Convert to fraction form
    508,862/748,437 = 748,437/x
  3. Step 3: Cross multiply
    508,862x = 748,437 × 748,437
  4. Step 4: Simplify right side
    508,862x = 560,157,942,969
  5. Step 5: Solve for x
    x = 560,157,942,969/508,862
  6. Step 6: Final answer
    x = 1,100,805.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.